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Finding the Fourth Proportional to 186,443.82, 257,291.15 and 101,560.88

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Solution

The fourth proportional to 186,443.82, 257,291.15 and 101,560.88 is: 140,153.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    186,443.82 : 257,291.15 = 101,560.88 : x
  2. Step 2: Convert to fraction form
    186,443.82/257,291.15 = 101,560.88/x
  3. Step 3: Cross multiply
    186,443.82x = 257,291.15 × 101,560.88
  4. Step 4: Simplify right side
    186,443.82x = 26,130,715,610.21
  5. Step 5: Solve for x
    x = 26,130,715,610.21/186,443.82
  6. Step 6: Final answer
    x = 140,153.29

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.